Question

Prove that a cyclic quadrilateral is a rectangle.......​

Answer 1

Here is your answer

ABCD be a cyclic quadrilateral such that its diagonals AC and BD are the diameters of the circle through the vertices A, B, C, and D.

<ABC = 90° and  < ADC = 90°

 Similarly, BD is a diameter.

 <DAB = 900  and  <BCD = 90°

 Therefore,  < ABC = <ADC = <DAB = <BCD = 90°

Thus, ABCD is a rectangle

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